Finite groups with weakly subnormal and partially subnormal subgroups

We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group $G$. In particular, we prove that a finite group $G$ is supersoluble if and only if $ G = AB $, where $A$ and $B$ are supersoluble weakly subnormal subgroups in $G$, and every Schmidt subgroup in $G$ is partially subnormal in $G$.